Matrix representations of semigroups
- 1 January 1957
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 53 (1) , 5-12
- https://doi.org/10.1017/s0305004100031935
Abstract
In a previous paper, the author gave necessary and sufficient conditions for the algebra of a finite semigroup S over a field of suitable characteristic to be semisimple. When this algebra is semisimple, the matrix representations of S over are completely reducible.Keywords
This publication has 6 references indexed in Scilit:
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- On semigroup algebrasMathematical Proceedings of the Cambridge Philosophical Society, 1955
- Inverse Semi-GroupsJournal of the London Mathematical Society, 1954
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- Matrix Representations of Completely Simple SemigroupsAmerican Journal of Mathematics, 1942
- On semi-groupsMathematical Proceedings of the Cambridge Philosophical Society, 1940